{"paper":{"title":"A Controller Synthesis Framework for Weakly-Hard Control Systems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A synthesis framework designs controllers that stay stable and performant despite occasional deadline misses","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Frank Allg\\\"ower, Marc Seidel, Martina Maggio","submitted_at":"2026-03-20T17:21:00Z","abstract_excerpt":"Deadline misses are more common in real-world systems than one may expect. The weakly-hard task model has become a standard abstraction to describe and analyze how often these misses occur, and has been especially used in control applications. Most existing control approaches check whether a controller manages to stabilize the system it controls when its implementation occasionally misses deadlines. However, they usually do not incorporate deadline-overrun knowledge during the controller synthesis process. In this paper, we present a framework that explicitly integrates weakly-hard constraints"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our method supports various overrun handling strategies and guarantees stability and performance under weakly-hard constraints. The results show that constraint-aware controllers significantly outperform traditional designs.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The weakly-hard task model and chosen overrun handling strategies accurately capture the timing behavior of the target real-time platform and do not introduce unmodeled dynamics that would invalidate the stability guarantees.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new controller synthesis method incorporates weakly-hard overrun constraints to guarantee stability and performance, outperforming traditional designs on a Furuta pendulum benchmark.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A synthesis framework designs controllers that stay stable and performant despite occasional deadline misses","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ec52540d68d4799a4d1d0363a0d3890441a092a773284c6e90895788de41e87e"},"source":{"id":"2603.20146","kind":"arxiv","version":2},"verdict":{"id":"137ab625-05be-44bc-9899-99e0f057e17e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T07:52:32.895487Z","strongest_claim":"Our method supports various overrun handling strategies and guarantees stability and performance under weakly-hard constraints. The results show that constraint-aware controllers significantly outperform traditional designs.","one_line_summary":"A new controller synthesis method incorporates weakly-hard overrun constraints to guarantee stability and performance, outperforming traditional designs on a Furuta pendulum benchmark.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The weakly-hard task model and chosen overrun handling strategies accurately capture the timing behavior of the target real-time platform and do not introduce unmodeled dynamics that would invalidate the stability guarantees.","pith_extraction_headline":"A synthesis framework designs controllers that stay stable and performant despite occasional deadline misses"},"references":{"count":61,"sample":[{"doi":"","year":2018,"title":"Ver- ifying weakly-hard real-time properties of traffic streams in switched net- works","work_id":"e045a995-2029-4dc9-ac70-1b60975d6e7d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2017,"title":"Finite ready queues as a mean for overload reduction in weakly-hard real-time systems","work_id":"e49baa8c-b2a5-4f27-9d3a-369351aab664","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Benny Akesson, Mitra Nasri, Geoffrey Nelissen, Sebastian Altmeyer, and Robert I. Davis. An empirical survey-based study into industry practice in real-time systems. In41st IEEE Real-Time Systems Sympo","work_id":"7c957e74-9217-4bf5-bd2a-18c61db844fc","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2022,"title":"Benny Akesson, Mitra Nasri, Geoffrey Nelissen, Sebastian Altmeyer, and Robert I. Davis. A comprehensive survey of industry practice in real-time systems.Real Time Systems, 58(3):358–398, 2022","work_id":"cca97981-d85d-4961-b60a-c59ac963e4d9","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"Antunes and Haiming Qu","work_id":"1f8c4d51-3266-4f7f-ad29-9f1db8c43100","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":61,"snapshot_sha256":"db8ba87a5630f9426d289e83d31828c96e25c0a8b047f22e4e1e07d7327017f9","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}